Learning objective

Understand and apply the concept of indices, including positive, zero, and negative values. Be able to simplify expressions using the rules of indices, such as simplifying 3^2 • (5x) • 12a^5 ÷ 3a^-2 • 6x^7y^4 × 5x^-5y. Knowledge of logarithms is not necessary.

Read the explanation, check the common trap, then practise with flashcards and questions.

Exam focus

Cambridge IGCSE MathematicsCore Algebra and graphs

Study support

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Quick explanation

This point belongs to Indices II, especially Indices II outcomes.
You need to be able to understand and apply the concept of indices, including positive, zero, and negative values. Be able to simplify expressions using the rules of indices, such as simplifying 3^2 • (5x) • 12a^5 ÷ 3a^-2 • 6x^7y^4 × 5x^-5y. Knowledge of logarithms is not necessary.
The key ideas to know are Calculate, Determine, and Show.
Use the linked flashcards and practice questions to check recall, then practise applying the idea in an exam-style answer.

Key concepts

CalculateDetermineShowWork out

Why it matters

This objective helps connect Indices II outcomes to exam-style questions, flashcards, and revision notes for Indices II.

Revision tools

Flashcards10 linked cards

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Practice Questions7 linked questions

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Paper 2Core or Extended Mathematics3 marks

Description

Simplify the following expression: 3^2 • (5x) • 12a^5 ÷ 3a^-2 • 6x^7y^4 × 5x^-5y.

a
Calculate the simplified form of the expression.
Your answer
Aim for approximately 3 distinct marking points.
[3]

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